Addendum to “exact embedding functors between categories of modules”
نویسندگان
چکیده
منابع مشابه
Functors between Reedy Model Categories of Diagrams
If D is a Reedy category and M is a model category, the category M of D-diagrams in M is a model category under the Reedy model category structure. If C → D is a Reedy functor between Reedy categories, then there is an induced functor of diagram categories M → M. Our main result is a characterization of the Reedy functors C → D that induce right or left Quillen functors M → M for every model ca...
متن کاملOn Gr-functors between Gr-categories
Each Gr-category (or categorical group) is Gr-equivalent to a Grcategory of type (Π, A, ξ), where Π is a group, A is a Π-module and ξ is a 3-cocycle of Π, with coefficients in A. In this paper, first we show that each Gr-functor induces one between Gr-categories of type (Π, C). Then we give results on the existence of Gr-functor and the classification of Gr-functors by cohomology groups H(Π, C)...
متن کاملExponentiable Functors Between Quantaloid-Enriched Categories
Exponentiable functors between quantaloid-enriched categories are characterized in elementary terms. The proof goes as follows: the elementary conditions on a given functor translate into existence statements for certain adjoints that obey some lax commutativity; this, in turn, is precisely what is needed to prove the existence of partial products with that functor; so that the functor’s expone...
متن کاملIntroduction to Categories and Functors
The category is introduced as an ordered 5-tuple of the form 〈O,M,dom,cod, ·, id〉 where O (objects) and M (morphisms) are arbitrary nonempty sets, dom and cod map M onto O and assign to a morphism domain and codomain, · is a partial binary map from M×M to M (composition of morphisms), id applied to an object yields the identity morphism. We define the basic notions of the category theory such a...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1987
ISSN: 0022-4049
DOI: 10.1016/0022-4049(87)90087-9